6242964960960 has 896 divisors, whose sum is σ = 27565838899200. Its totient is φ = 1294862008320.

The previous prime is 6242964960943. The next prime is 6242964960961. The reversal of 6242964960960 is 690694692426.

6242964960960 is a `hidden beast` number, since 6 + 2 + 429 + 64 + 9 + 60 + 96 + 0 = 666.

It is a super-2 number, since 2×6242964960960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6242964960961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46320870 + ... + 46455450.

It is an arithmetic number, because the mean of its divisors is an integer number (30765445200).

Almost surely, 2^{6242964960960} is an apocalyptic number.

6242964960960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6242964960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782919449600).

6242964960960 is an abundant number, since it is smaller than the sum of its proper divisors (21322873938240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6242964960960 is a wasteful number, since it uses less digits than its factorization.

6242964960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134686 (or 134670 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 6242964960960 in words is "six trillion, two hundred forty-two billion, nine hundred sixty-four million, nine hundred sixty thousand, nine hundred sixty".